see [1]}.
It is known that this discrete spectrum is finite if the Faddeev condition
(REF ) is satisfied, see [2]}. But except for the
periodic case, see for instance [3]}, there is no complete
understanding of the case of initial data not satisfying
(REF ). The goal of the present paper is to
provide numerical tools to study such cases. Of course, numerically one
will be only able to study finite times and thus will not be able to
address the question whether the time evolution of such data can
lead to an infinite number of solitons.
